Search a number
-
+
37540241 is a prime number
BaseRepresentation
bin1000111100110…
…1000110010001
32121122020112022
42033031012101
534102241431
63420341225
7634041524
oct217150621
977566468
1037540241
111a2105a2
12106a4815
137a1507b
144db2bbb
15346807b
hex23cd191

37540241 has 2 divisors, whose sum is σ = 37540242. Its totient is φ = 37540240.

The previous prime is 37540229. The next prime is 37540249. The reversal of 37540241 is 14204573.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31315216 + 6225025 = 5596^2 + 2495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37540241 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37540241.

It is not a weakly prime, because it can be changed into another prime (37540249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18770120 + 18770121.

It is an arithmetic number, because the mean of its divisors is an integer number (18770121).

Almost surely, 237540241 is an apocalyptic number.

It is an amenable number.

37540241 is a deficient number, since it is larger than the sum of its proper divisors (1).

37540241 is an equidigital number, since it uses as much as digits as its factorization.

37540241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 37540241 is about 6127.0091398659. The cubic root of 37540241 is about 334.8361595797.

The spelling of 37540241 in words is "thirty-seven million, five hundred forty thousand, two hundred forty-one".